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1664949566336 = 27719372643247
BaseRepresentation
bin11000001110100110101…
…110100011101110000000
312220011112012100022022012
4120032212232203232000
5204234304042110321
63312511155232052
7231201000544220
oct30164656435600
95804465308265
101664949566336
11592112696a41
1222a8182a8628
13c1008c341b4
145a826674080
152d49862a05b
hex183a6ba3b80

1664949566336 has 128 divisors (see below), whose sum is σ = 4098091699200. Its totient is φ = 657724188672.

The previous prime is 1664949566281. The next prime is 1664949566359. The reversal of 1664949566336 is 6336659494661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691736 + ... + 1951511.

It is an arithmetic number, because the mean of its divisors is an integer number (32016341400).

Almost surely, 21664949566336 is an apocalyptic number.

1664949566336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1664949566336 is an abundant number, since it is smaller than the sum of its proper divisors (2433142132864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1664949566336 is a wasteful number, since it uses less digits than its factorization.

1664949566336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643324 (or 2643312 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 68.

The spelling of 1664949566336 in words is "one trillion, six hundred sixty-four billion, nine hundred forty-nine million, five hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 112 128 133 148 152 224 259 266 296 304 448 518 532 592 608 703 896 1036 1064 1184 1216 1406 2072 2128 2368 2432 2812 4144 4256 4736 4921 5624 8288 8512 9842 11248 16576 17024 19684 22496 33152 39368 44992 78736 89984 157472 314944 629888 2643247 5286494 10572988 18502729 21145976 37005458 42291952 50221693 74010916 84583904 97800139 100443386 148021832 169167808 195600278 200886772 296043664 338335616 351551851 391200556 401773544 592087328 684600973 703103702 782401112 803547088 1184174656 1369201946 1406207404 1564802224 1607094176 1858202641 2368349312 2738403892 2812414808 3129604448 3214188352 3716405282 5476807784 5624829616 6259208896 6428376704 7432810564 10953615568 11249659232 12518417792 13007418487 14865621128 21907231136 22499318464 26014836974 29731242256 43814462272 44998636928 52029673948 59462484512 87628924544 104059347896 118924969024 208118695792 237849938048 416237391584 832474783168 1664949566336